Details

Time bar (total: 32.6s)

sample96.0ms

Algorithm
intervals
Results
45.0ms294×body80nan
25.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
43410
3751
2158
144
019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×frac-times cbrt-undiv div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
8.0ms
(* PI t)
27.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
154.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 5.0 (* v v))
21.0ms
(* PI t)
221.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
711.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify2.7s

Counts
106 → 106
Iterations
IterNodes
done5002
24092
1799
0253

prune671.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
0.5b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
250×times-frac
120×add-sqr-sqrt
118×*-un-lft-identity add-cube-cbrt
56×associate-/l*
40×add-cbrt-cube add-exp-log
15×cbrt-undiv div-exp
14×pow1 div-inv
9×prod-exp cbrt-unprod
8×associate-*l/ associate-/r/
6×flip3-- sqrt-div associate-*l* pow-prod-down flip--
5×div-sub
4×frac-times associate-/r* add-log-exp
2×clear-num frac-2neg associate-*r* associate-*r/ *-commutative unswap-sqr associate-/l/
Counts
4 → 228
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
13.0ms
(* 5.0 (* v v))
13.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
242.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

series986.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 3.0 (* v v))
28.0ms
(* 5.0 (* v v))
134.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
770.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

simplify3.7s

Counts
240 → 240
Iterations
IterNodes
done5005
24237
11244
0466

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(* (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0))) (/ (/ 1 t) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

rewrite751.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
140×add-sqr-sqrt
127×pow1
93×*-un-lft-identity
90×add-cube-cbrt
86×add-exp-log
65×associate-*l*
62×add-cbrt-cube
61×associate-*r*
36×pow-prod-up
33×div-exp
30×pow-prod-down
29×prod-exp
26×pow3
23×cbrt-unprod
22×pow-sqr
18×cbrt-undiv pow-plus
15×unswap-sqr
13×pow2 difference-cubes sqrt-prod
10×div-inv
4×associate-/r/ *-commutative add-log-exp
3×rec-exp 1-exp associate-*l/
2×flip3-- sqrt-div flip--
1×frac-times swap-sqr associate-*r/
Counts
4 → 265
Calls
4 calls:
31.0ms
(* (* v v) (* v v))
26.0ms
(* 3.0 (* v v))
13.0ms
(* 5.0 (* v v))
666.0ms
(* (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0))) (/ (/ 1 t) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* v v) (* v v))
51.0ms
(* 3.0 (* v v))
38.0ms
(* 5.0 (* v v))
669.0ms
(* (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0))) (/ (/ 1 t) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

simplify2.1s

Counts
277 → 277
Iterations
IterNodes
done5001
11690
0511

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(* (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) t)
0.6b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) t))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
40×add-cbrt-cube add-exp-log
32×associate-*l/
31×times-frac
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×pow1
15×prod-exp cbrt-unprod
13×associate-/l*
12×flip3-- sqrt-div flip--
9×cbrt-undiv div-exp pow-prod-down
8×frac-times associate-/r/
7×associate-*l*
5×associate-*r*
4×associate-*r/ add-log-exp
3×*-commutative div-inv
2×div-sub unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 123
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))
772.0ms
(* (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) t)
761.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) t))

series1.3s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3.0 (* v v))
46.0ms
(* 5.0 (* v v))
498.0ms
(* (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) t)
743.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) t))

simplify4.0s

Counts
135 → 135
Iterations
IterNodes
done5014
24052
1987
0327

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done57
157
038

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s8105×body80nan
1.2s8000×body80valid